Geodesic
The spectral shift function for a dissipative and a selfadjoint operator, and trace formulas for resonances
Sbornik. Mathematics, Tome 53 (1986) no. 2, pp. 421-431 
A. V. Rybkin. The spectral shift function for a dissipative and a selfadjoint operator, and trace formulas for resonances. Sbornik. Mathematics, Tome 53 (1986) no. 2, pp. 421-431. http://geodesic.mathdoc.fr/item/SM_1986_53_2_a8/
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     title = {The spectral shift function for a dissipative and a selfadjoint operator, and trace formulas for resonances},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A trace formula is given for an abstract pair consisting of a dissipative operator and a selfadjoint operator, and a connection is established between the spectral shift function of this pair and the corresponding scattering matrix. As a consequence, trace formulas are obtained for a specific dissipative operator arising in the problem of resonance scattering of plane waves on a one-dimensional semi-infinite crystal. Bibliography: 8 titles.

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[8] Pavlov B. S., “Ob odnomernom rasseyanii ploskikh voln na proizvolnom potentsiale”, TMF, 16:1 (1973), 105–115 | Zbl